Fermat's Last Theorem

Revision as of 01:17, 23 June 2006 by Calculuslover800 (talk | contribs) (The Theorem: Added display style)


Fermat's last theorem is particularly famous in number theory. It was proposed by Fermat in the margin of his book Arithmetica. The note in the margin (when translated) read: "It is impossible for a cube to be the sum of two cubes, a fourth power to be the sum of two fourth powers, or in general for any number that is a power greater than the second to be the sum of two like powers. I have discovered a truly marvelous demonstration of this proposition that this margin is too narrow to contain." However, nobody was able to prove this theorem for centuries. Finally, in 1993 Andrew Wiles produced a proof of the theorem - a proof that was much more complicated than anything Fermat could have produced himself.

The Theorem

Given integers $a,b,c$ and $n$, with $n \geq 3$ there are no solutions to the equation:

$\displaystyle a^n + b^n = c^n$

See Also

Invalid username
Login to AoPS